Complex Analysis (MAT310)

The course covers fundamentals of mathematical analysis with focus on complex analysis.


Course description for study year 2025-2026. Please note that changes may occur.

See course description and exam/assesment information for this semester (2024-2025)
Facts

Course code

MAT310

Version

1

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

English

Offered by
Time table

View course schedule

Admission requirements

Science and mathematics qualification (REALFA) / Higher engineering education (HING)

Content

NB! This is an elective course and may be cancelled if fewer than 10 students are enrolled by August 20th for the autumn semester.

Elements of mathematical logic, basic topological notions, analytic and harmonic functions of a complex variable, Cauchy-Riemann conditions, Cauchy's integral theorem and integral formulas, Taylor and Laurent series representations, classification of isolated singularities and residue theory.

Learning outcome

Upon completing this course students should be able to:

  • Clearly understand what is meant by a mathematical proof, and how to communicate mathematical arguments clearly in the form of a mathematical proof.
  • Understand basic topological notions (closed, open, connected and compact sets, convergence, continuity).
  • Get operational knowledge of analytic and harmonic functions, including maximum principle and integral representations.
  • Determine Taylor and Laurent series of elementary analytic functions, find their zero points and singularities, and get knowledge of residue theory and its applications. 

Required prerequisite knowledge

MAT100 Mathematical Methods 1

Recommended prerequisites

MAT200 Mathematical Methods 2, MAT210 Real Analysis, MAT300 Vector Analysis

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades No printed or written materials are allowed. Approved basic calculator allowed

Course teacher(s)

Course teacher:

Tyson Ritter

Head of Department:

Bjørn Henrik Auestad

Method of work

6 hours lectures/problem solving per week.

Overlapping courses

Course Reduction (SP)
Mathematical Analysis (BMA100_1) 5
Mathematics 5 - Complex analysis (ÅMA310_1) 5

Open for

Battery and Energy Engineering - Bachelor in Engineering Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Computer Science - Bachelor in Engineering, Part-Time Electrical Engineering - Bachelor's Degree Programme, part-time Electrical Engineering - Bachelor's Degree Programme Energy and Petroleum Engineering - Bachelor in Engineering Geosciences and Energy Resources - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering Medical Technology - Bachelor in Engineering Medical Technology - Bachelor in Engineering - part time
Admission to Single Courses at the Faculty of Science and Technology
Advanced teacher education for level 8-13 in science Mathematics and Physics - Five Year Integrated Master's Degree Programme
Exchange programme at Faculty of Science and Technology
Mathematics - One-Year Programme Science and Technology - One-Year programme

Course assessment

The faculty decides whether early dialogue will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.

Literature

The syllabus can be found in Leganto